Question

If $r=-\frac{3}{2}\frac{\Delta \left[A\right]}{\Delta t}=-5\frac{\Delta \left[B\right]}{\Delta t}=+\frac{7}{3}\frac{\left[\Delta C\right]}{\Delta t}$, which of the following is the corresponding stoichiometric equation?

• A. $\frac{2}{3}A+\frac{1}{5}B⟶\frac{3}{7}C$
• B. $\frac{2}{3}A+\frac{5}{2}B⟶\frac{7}{3}C$
• C. $\frac{3}{2}A+\frac{5}{2}B⟶\frac{7}{3}C$
• D. $\frac{7}{3}C+\frac{5}{2}B⟶\frac{3}{2}A$

Answer 1

The correct option is A $\frac{2}{3}A+\frac{1}{5}B⟶\frac{3}{7}C$

If $r=-\frac{3}{2}\frac{\Delta \left[A\right]}{\Delta t}=-5\frac{\Delta \left[B\right]}{\Delta t}=+\frac{7}{3}\frac{\left[\Delta C\right]}{\Delta t}$, the corresponding stoichiometric equation is
$\frac{2}{3}A+\frac{1}{5}B⟶\frac{3}{7}C$
Note: For general stoichiometric equation $aA+bB\to cC$, the rate is rate $=-\frac{1}{a}\frac{\Delta \left[A\right]}{\Delta t}=-\frac{1}{b}\frac{\Delta \left[B\right]}{\Delta t}=\frac{1}{c}\frac{\Delta \left[C\right]}{\Delta t}$